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D. N. Azarov, D. V. Goltsov
On the virtually residually p-finiteness of free products of groups with one
amalgamated finite subgroup The necessary and sufficient condition for free product with one amalgamated finite subgroup to be virtually residually a finite p-group is obtained.
A. A. Kopteva, Ye. V. Sokolov
Some residual properties of HNN-extensions of groups Let X be a class of groups satisfying certain conditions. The sufficient condition is proved for a HNN-extension of G to be residually X. The description of X-separable cyclic subgroups of group G is also obtained.
A. V. Rozov
On the residual p-finiteness of free products of nilpotent groups
of finite rank with central amalgamated subgroups The necessary and sufficient condition for free product of nilpotent groups of finite rank with central amalgamated subgroups to be residually a finite p-group is obtained.
Ye. A. Tumanova
On the residual \pi-finiteness of HNN-extensions of groups Some necessary and sufficient conditions for the HNN-extension with coincident associated subgroups which are normal in base group to be residually a finite \pi-group are obtained.
S. I. Khashin
Multiple factors of pseudoprime numbers The properties of the multiple factors of pseudoprime numbers are proved. The main results are theorems 3, 4, 5. Tables 1 and 2 are of great interest in practical calculations.
N. I. Yatskin
Article about the article (Some near mathematical reflections on the scientific fate of the
well-known paper by academician A. I. Mal'tsev «Homomorphisms onto finite groups») The article analyzes some aspects of the scientific fate of one of the most famous works by academician A. I. Mal'tsev «Homomorphisms onto finite groups». For the first time this work was published in 1958 in Ivanovo State Pedagogical Institute Scientific Memoirs. |
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